Table X-P
External Similitude Centers.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 10000 points version of 2016.
The "Discoverer" database version: October 2013.
Last update: 2016-05-15

      Kimberling Notation     Role  
  1     X(1) Incenter     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Outer Johnson-Yff Circle of the Outer Yff Triangle  
  2     X(1) Incenter     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Inner Johnson-Yff Circle of the Outer Yff Triangle  
  3     X(3) Circumcenter     External Center of Similitude of the Incircle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  4     X(5) Nine-Point Center     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  5     X(11) Feuerbach Point     External Center of Similitude of the Incircle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  6     X(11) Feuerbach Point     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  7     X(36) Inverse of the Incenter in the Circumcircle     External Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  8     X(36) Inverse of the Incenter in the Circumcircle     External Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle of the Outer Yff Triangle  
  9     X(56) External Center of Similitude of Circumcircle and Incircle     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  10     X(56) External Center of Similitude of Circumcircle and Incircle     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Tangential Circle of the Outer Yff Triangle  
  11     X(484) Evans Perspector     External Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  12     X(499)     External Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  13     X(499)     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  14     X(499)     External Center of Similitude of the Spieker Circle of Triangle ABC and the Incircle of the Outer Yff Triangle  
  15     X(956)     External Center of Similitude of the Spieker Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  16     X(1428)     External Center of Similitude of the Brocard Circle of Triangle ABC and the Brocard Circle of the Outer Yff Triangle  
  17     X(1428)     External Center of Similitude of the Lemoine Circle of Triangle ABC and the Lemoine Circle of the Outer Yff Triangle  
  18     X(1478) Center of the Inner Johnson-Yff Circle     External Center of Similitude of the Incircle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  19     X(1737)     External Center of Similitude of the Excentral Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  20     X(1737)     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  21     X(1737)     External Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle of the Outer Yff Triangle  
  22     X(1768)     External Center of Similitude of the Extouch Circle of Triangle ABC and the Extouch Circle of the Outer Yff Triangle  
  23     X(2067)     External Center of Similitude of the Cosine Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  24     X(3086)     External Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  25     X(3086)     External Center of Similitude of the Incircle of Triangle ABC and the Spieker Circle of the Outer Yff Triangle  
  26     X(3086)     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  27     X(3583)     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  28     X(3813)     External Center of Similitude of the Spieker Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  29     X(5119)     External Center of Similitude of the Incircle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  30     X(5274)     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  31     X(5592)     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  32     X(9599)     External Center of Similitude of the Moses Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle